The arithmetic mean x 10 and the empirical standard deviation S emp 2 were calculated for a sample (n 50) Later, the values x 51 18 und x 52 28 were added to the sample What is the new arithmetic mean and empirical standard deviation for the entire sample (n 52) ...

In the old sample n 50 the sum of all observations ...

The arithmetic mean x = 10 and the empirical standard deviation S emp = 2 were calculated

Question:

The arithmetic mean x = 10 and the empirical standard deviation S_emp = 2 were calculated for a sample (n = 50). Later, the values x₅₁ = 18 und x₅₂ = 28 were added to the sample. What is the new arithmetic mean and empirical standard deviation for the entire sample (n = 52)?

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